Topics in Commutative Ring Theory / / John J. Watkins.
Topics in Commutative Ring Theory is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstract algebra. Commutative ring theory arose more than a century ago to address questions in geometry...
Saved in:
Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
---|---|
VerfasserIn: | |
Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2009] ©2007 |
Year of Publication: | 2009 |
Language: | English |
Online Access: | |
Physical Description: | 1 online resource (232 p.) |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- Frontmatter
- Contents
- Preface
- 1. Rings and Subrings
- 2. Ideals and Quotient Rings
- 3. Prime Ideals and Maximal Ideals
- 4. Zorn's Lemma and Maximal Ideals
- 5. Units and Nilpotent Elements
- 6. Localization
- 7. Rings of Continuous Functions
- 8. Homomorphisms and Isomorphisms
- 9. Unique Factorization
- 10. Euclidean Domains and Principal Ideal Domains
- 11. Polynomial Rings
- 12. Power Series Rings
- 13. Noetherian Rings
- 14. Dimension
- 15. Gröbner Bases
- Solutions to Selected Problems
- Suggestions for Further Reading
- Index